Question 511 Mark
The product of two whole numbers is zero. What do you conclude?
Answer
View full question & answer→If the product of two whole numbers is zero, then it means that either one of them is zero or both of them are zero.
Questions · Page 2 of 2
1 Marks Question
Question 521 Mark
Fill in the blanks to make the following a true statement: __ $+ 1952 = 1952 + 2008$
Answer
View full question & answer→$2008 + 1952 = 1952 + 2008$
Question 531 Mark
Fill in the blanks to make the following a true statement: $27 \times 18 = 27 \times 9 + 27 \times $ ___ $+ 27 \times 5$
Answer
View full question & answer→$27 \times 18 = 27 \times 9 + 27 \times 4 + 27 \times 5$
Question 541 Mark
Determine the following products by suitable rearrangements: $4 \times 358 \times 25$
Answer
View full question & answer→$4 \times 358 \times 25 = (4 \times 25) \times 358 = 100 \times 358 = 35800$
Question 551 Mark
Fill in the blanks. The product of an odd number and an even number is an _____ number.
Answer
View full question & answer→The numbers $3, 7 , 11$ etc.
are odd numbers and the numbers $8, 10, 12$ etc.
are even numbers. Now observe the following$:3 \times 8 = 24, 3 \times 12 = 36, 7 \times 2 = 14, 7 \times 8 = 56, 11 \times 12 = 132, 11 \times 10 = 110$ etc.
Here, the last digits of $24, 36, 14, 56, 132, 110 ...$ ends with $0, 2, 4$ or $6.$
We know that, the number whose last digits is $0, 2, 4, 6$ or $8$ is an even number.
Thus, $24, 14, 36, 14, 56, 132, 110$ etc. are all even numbers.
Hence, The product of an odd number and an even number is an even number.
are odd numbers and the numbers $8, 10, 12$ etc.
are even numbers. Now observe the following$:3 \times 8 = 24, 3 \times 12 = 36, 7 \times 2 = 14, 7 \times 8 = 56, 11 \times 12 = 132, 11 \times 10 = 110$ etc.
Here, the last digits of $24, 36, 14, 56, 132, 110 ...$ ends with $0, 2, 4$ or $6.$
We know that, the number whose last digits is $0, 2, 4, 6$ or $8$ is an even number.
Thus, $24, 14, 36, 14, 56, 132, 110$ etc. are all even numbers.
Hence, The product of an odd number and an even number is an even number.
Question 561 Mark
Which of the following statements are true and which are false?
There is a natural number which when added to a natural number, gives that number.
There is a natural number which when added to a natural number, gives that number.
Answer
View full question & answer→ False.
Question 571 Mark
Fill in the blanks to make the following a true statement:
$359 + 476 = 476 +$ ___
$359 + 476 = 476 +$ ___
Answer
View full question & answer→$359 + 476 = 476 + 359$
Question 581 Mark
Which of the following statements are true and which are false? The sum of an odd number and an even number is an even number.
Answer
View full question & answer→False. Solution: $(3 + 2 = 5; 5$ is not an even number)
Question 591 Mark
Fill in the blanks to make the following a true statement: $10 \times 100 \times $ ___ $= 10000$
Answer
View full question & answer→$10 \times 100 \times 10 = 10000$
Question 601 Mark
In the following, fill in the blanks, so that the statement is true:
$9 \times (10000 +$ __$) = 98766$
$9 \times (10000 +$ __$) = 98766$
Answer
View full question & answer→$9 \times (10000 + 974) = 98766$
Question 611 Mark
Which of the following statements are true and which are false? There is a whole number which when added to a whole number, gives that number.
Answer
View full question & answer→True . Solution: [That number is zero.]
Question 621 Mark
Perform the following subtractions and check your results by performing corresponding addition: $92507 - 10879$
Answer
View full question & answer→$92507 - 10879 = 81628$
Verification: $81628 + 10879 = 92507$
Verification: $81628 + 10879 = 92507$
Question 631 Mark
Which of the following statements are true and which are false? The sum of two odd numbers is an even number.
Answer
View full question & answer→Ture. Solution: $(3 + 5 = 8; 8$ is an even number)
Question 641 Mark
Find the value of:
$0 ÷ 97$
$0 ÷ 97$
Answer
View full question & answer→$\frac{0}{97}=0$
Question 651 Mark
Which of the following statements are true: $(20 - 5) ÷ 5 = 20 ÷ 5 - 5$
Answer
View full question & answer→False. $\text{L.H.S}=\frac{(20-5)}{5}$ $=\frac{15}{5}$ $=3$ $\text{R.H.S}=\frac{20}{5-5}$ $=4-5$ $=-1$ $\text{L.H.S}=\text{R.H.S}$
Question 661 Mark
Replace each * by the correct digit in the following:
$
\begin{array}{rrrrrrr}
1 & 0 & 0 & 0 & 0 & 0 & 0 \\
- & & * & * & * & * & 1 \\
\hline & * & 7 & 0 & 4 & 2 & * \\
\hline
\end{array}
$
$
\begin{array}{rrrrrrr}
1 & 0 & 0 & 0 & 0 & 0 & 0 \\
- & & * & * & * & * & 1 \\
\hline & * & 7 & 0 & 4 & 2 & * \\
\hline
\end{array}
$
Answer
In the units place, $10 - 1 = 9;$ Also, in the lakhs place, $9 - 0 = 9$; Addend difference $= 970429.$
$1000000 $
$ \underline{ -0970429}$
$00029571$
So, in order to get the addend, we will subtract $970429$ from $1000000.$ Thus, the correct answer is:
$1000000$
$ -0029571$
$\underline {0970429}$
View full question & answer→In the units place, $10 - 1 = 9;$ Also, in the lakhs place, $9 - 0 = 9$; Addend difference $= 970429.$
$1000000 $
$ \underline{ -0970429}$
$00029571$
So, in order to get the addend, we will subtract $970429$ from $1000000.$ Thus, the correct answer is:
$1000000$
$ -0029571$
$\underline {0970429}$
Question 671 Mark
Which of the following statements are true and which are false? Commutativity and associativity are properties of whole numbers.
Answer
View full question & answer→False.
Question 681 Mark
Perform the following subtractions and check your results by performing corresponding addition: $5050501 - 969696$
Answer
View full question & answer→$5050501 - 969696 = 4080805$ Verification: $4080805 + 969696 = 5050501$
Question 691 Mark
Fill in the blanks. If a whole number a is divided by a non-zero whole number b such that the quotient is q, then the remainder is _____ .
Answer
View full question & answer→Let a be dividend and b is the divisor. If q is the quotient and r is the remainder, then by division algorithm $a = bq + r$, where $r = 0$ or $r < b$.
Now, $a = bq + r$
$\Rightarrow r = a - bq $
Hence, $r = $a - bq.
Now, $a = bq + r$
$\Rightarrow r = a - bq $
Hence, $r = $a - bq.
Question 701 Mark
Fill in the blanks to make the following a true statement:$ 475 \times 129 = 129 \times $ ___
Answer
View full question & answer→$475 \times 129 = 129 \times 475$